problem solving Mang Gustin can climb a coconut tree at the rate of 10 ft. per minute and return at 20 ft. per minute. If it took him 3 minu

problem solving Mang Gustin can climb a coconut tree at the rate of 10 ft. per minute and return at 20 ft. per minute. If it took him 3 minutes to climb and return, what is the height of the coconut tree?
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Guest [Entry]

"The height of the tree is 20 ft.

EXPLANATION:

Since he climbing up the tree is twice as slow than going down, then it will take twice as long.

Distributing the time, it will take 2 minutes for him to climb up the tree and 1 minute to go down.

Therefore, the height is 20 feet.

SOLUTION:

Distance = Speed x Time

D(up) = D(down)

Let the time going up be x.

10ft/min * x = 20 ft/min * (3-x)
10x = 20(3-x)
10x = 60 - 20x
30x = 60
x = 2 minutes

Substitute.

D = 10 x 2 = 20 feet"